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The set square was invented in America in 1860.
A square is a shape and a shape cannot be invented.
Philipp Deidesheimer invented the set square in 1860 in America.
A square is a special form of a rectangle where Length = Width. So L*W for a square would be L*L = L^2 where L is the length of a side.
If d is the diagonal and h is the height Let, l=length of rectangle we have By pythagrous theorem d square= l square + h square therefore l square= d square - h square